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Finding the Fourth Proportional to 32,616.32, 48,924.50 and 7,992.32

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Solution

The fourth proportional to 32,616.32, 48,924.50 and 7,992.32 is: 11,988.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,616.32 : 48,924.50 = 7,992.32 : x
  2. Step 2: Convert to fraction form
    32,616.32/48,924.50 = 7,992.32/x
  3. Step 3: Cross multiply
    32,616.32x = 48,924.50 × 7,992.32
  4. Step 4: Simplify right side
    32,616.32x = 391,020,259.84
  5. Step 5: Solve for x
    x = 391,020,259.84/32,616.32
  6. Step 6: Final answer
    x = 11,988.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.